Vestnik of Samara State Technical University. Technical Sciences SeriesVestnik of Samara State Technical University. Technical Sciences Series1991-85422712-8938Samara State Technical University1945910.14498/tech.2009.3.%uSynthesis of heterogeneous self-organizing models for for plain structures approximationKolpashchikovSergey ASamara State Technical Universityskolpaschikov@mail.ruRyazanovAleksandr SSamara State Technical University-YudashkinАleksandr АSamara State Technical University-Samara State Technical University15092009173384310022020Copyright © 2009, Samara State Technical University2009A solution for a problem of a given heterogeneous structure approximation by an arbitrary dimensional elastic dynamical model in a plane is proposed. The model is developed on the as the potential system with the characteristics of the elastic loop with the connectivity matix and the self-organizing form with the state memory. It is shown that the proposed model is able to fit the given structure as the sub-optimal solution, preserving its form at least close to its initial or desired construction, while the dynamic structure parts interact with same type parts of the given structure only.nonlinear dynamicsstructure approximationcombinatorial optimizationself-organizationdynamic memoryнелинейная динамикааппроксимация структуркомбинаторная оптимизациясамоорганизациягетерогенные сети[Passerone R., Burch J.R., Sangiovanni-Vincentelli A.L. Conservative approximations for heterogeneous design // International Conference On Embedded Software: Proc. of the 4th int. conf. - Pisa, Italy, 2004. - Session System Design. - P. 155-164][Khuller S., Kim Y., Woeginger G. Approximation Schemes for Broadcasting in Heterogenous Networks // Approximation, Randomization, and Combinatorial Optimization. - Springer Berlin/Heidelberg, 2004. - P. 163-170.][Self-assembly from milli- to nanoscales: methods and applications / M. Mastrangeli, S. Abbasi, C. Varel, C. Van Hoof, J-P Celis, K. F. Bohringer, - J. Micromech. Microeng. 19. - 2009.][Гэри М., Джонсон Д. Вычислительные машины и труднорешаемые задачи. - М.: Мир, 1982. - 416 с.][Durbin R., Willshaw D.J. An analogue approach to the traveling salesman problem using an elastic net method // Nature. - 1987. - V. 326. - P. 689.][Юдашкин А.А. Синтез самоорганизующихся систем, запоминающих и восстанавливающих несколько собственных конфигураций в трехмерном пространстве // Мехатроника, автоматизация и управление. - 2005. - №1. - C. 7-11.][Юдашкин А.А. О подходе к построению трансформирующихся систем с несколькими устойчивыми состояниями // Дифференциальные уравнения и их приложения: Межвуз. сб. науч. тр. - 2002. - №1. - С. 64-68.][Юдашкин А.А. Классификация образов и ее связь с топологией многообразий динамических систем // Изв. Самарского научного центра РАН. - 2001. - T.3. - №1. - С. 93-98.]